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A ring crystal of ions trapped in a linear multipole trap is studied as abasis for an optical frequency standard. The equilibrium conditions and coolingpossibilities are discussed through an analytical model and molecular dynamicssimulations. A configuration which reduces the frequency sensitivity to thefluctuations of the number of trapped ions is proposed. The systematic shiftsfor the electric quadrupole transition of calcium ions are evaluated for thisring configuration. This study shows that a ring of 10 or 20 ions allows toreach a short term stability better than for a single ion without introducinglimiting long term fluctuations.

An ion ring in a linear multipole trap for optical frequency metrology